A finite-time-convergent fault-tolerant control and its experimental verification for DTS200 three-tank system

This paper presents a fault-tolerant continuous super-twisting control algorithm for systems of dimension more than one, subject to Lipshitzian and non-Lipshitzian bounded disturbances. The conditions of finite-time convergence of the entire system state to the origin are obtained. An experimental verification of the designed fault-tolerant algorithm is conducted for a DTS200 three-tank system through varying fault sources, disturbances, input conditions, and inter-tank connections.

[1]  Dennis S. Bernstein,et al.  Geometric homogeneity with applications to finite-time stability , 2005, Math. Control. Signals Syst..

[2]  Michael V. Basin,et al.  A Supertwisting Algorithm for Systems of Dimension More Than One , 2014, IEEE Transactions on Industrial Electronics.

[3]  Didier Theilliol,et al.  Actuator fault-tolerant control design: Demonstration on a three-tank-system , 2000, Int. J. Syst. Sci..

[4]  A. Levant Robust exact differentiation via sliding mode technique , 1998 .

[5]  Wei Chen,et al.  Optimal residual evaluation for nonlinear systems using post-filter and threshold , 2011, Int. J. Control.

[6]  Steven X. Ding,et al.  Data-driven Design of Fault Diagnosis and Fault-tolerant Control Systems , 2014 .

[7]  Steven X. Ding,et al.  An ${\oldstyle{H_{\infty}}}$ Fault Estimation Scheme of Wireless Networked Control Systems for Industrial Real-Time Applications , 2014, IEEE Transactions on Control Systems Technology.

[8]  Yingwei Zhang,et al.  Adaptive actuator fault compensation for linear systems with matching and unmatching uncertainties , 2009 .

[9]  Donghua Zhou,et al.  Active fault-tolerant control of nonlinear batch processes with sensor faults , 2007 .

[10]  A. Levant Sliding order and sliding accuracy in sliding mode control , 1993 .

[11]  Aleksej F. Filippov,et al.  Differential Equations with Discontinuous Righthand Sides , 1988, Mathematics and Its Applications.

[12]  Steven X. Ding,et al.  Model-based Fault Diagnosis Techniques: Design Schemes, Algorithms, and Tools , 2008 .

[13]  Ying Wang,et al.  Quadratic Optimal Fault Tolerant Control on Wireless Networked Control Systems for Real-Time Industrial Applications , 2015 .

[14]  Bin Jiang,et al.  Robust fault tolerant tracking control with application to hybrid nonlinear systems , 2009 .